A derived algebraic geometric study of classical GLn-Yang-Mills theory on the 2-dimensional square lattice Z2 is presented. The derived critical locus of the Wilson action is described and its local data supported in rectangular subsets V=[a,b]×[c,d]⊆Z2 with both sides of length ≥2 is extracted. A locally constant dg-category-valued prefactorization algebra on Z2 is constructed from the dg-categories of quasi-coherent complexes on the derived stacks of local data.
Derived algebraic geometry of 2d lattice Yang-Mills theory / Benini, M., Fernández, T., Schenkel, A.. - In: SELECTA MATHEMATICA. NEW SERIES. - ISSN 1420-9020. - 32:3(2026). [10.1007/s00029-026-01165-7]
Derived algebraic geometry of 2d lattice Yang-Mills theory
Schenkel, Alexander
2026-01-01
Abstract
A derived algebraic geometric study of classical GLn-Yang-Mills theory on the 2-dimensional square lattice Z2 is presented. The derived critical locus of the Wilson action is described and its local data supported in rectangular subsets V=[a,b]×[c,d]⊆Z2 with both sides of length ≥2 is extracted. A locally constant dg-category-valued prefactorization algebra on Z2 is constructed from the dg-categories of quasi-coherent complexes on the derived stacks of local data.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione
